probably better to run as an independent than as any political party
this guy probably isn't a libertarian, but close enough (hes not part of the establishment), he recently quit the republican party to challenge elizabeth warren as an independent:
http://vashiva.com/

just support the Mises Caucus in the libertarian party:
It is a bit of a joke though that the libertarian party hasn't nominated an actual libertarian candidate since 2004 (Michael Badnarik)
https://www.youtube.com/watch?v=_oNG7rwWkyY
https://twitter.com/LPMisesCaucus?lang=en